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Finding the Fourth Proportional to 1,219.37, 1,829.21 and 397.44

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Solution

The fourth proportional to 1,219.37, 1,829.21 and 397.44 is: 596.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.37 : 1,829.21 = 397.44 : x
  2. Step 2: Convert to fraction form
    1,219.37/1,829.21 = 397.44/x
  3. Step 3: Cross multiply
    1,219.37x = 1,829.21 × 397.44
  4. Step 4: Simplify right side
    1,219.37x = 726,999.24
  5. Step 5: Solve for x
    x = 726,999.24/1,219.37
  6. Step 6: Final answer
    x = 596.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.